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Finding the Fourth Proportional to 9,763.13, 13,457.34 and 6,220.19

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Solution

The fourth proportional to 9,763.13, 13,457.34 and 6,220.19 is: 8,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.13 : 13,457.34 = 6,220.19 : x
  2. Step 2: Convert to fraction form
    9,763.13/13,457.34 = 6,220.19/x
  3. Step 3: Cross multiply
    9,763.13x = 13,457.34 × 6,220.19
  4. Step 4: Simplify right side
    9,763.13x = 83,707,245.34
  5. Step 5: Solve for x
    x = 83,707,245.34/9,763.13
  6. Step 6: Final answer
    x = 8,573.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.